Generalized Vector Quasi-Equilibrium Problems Involving Relaxed\n Continuity of the Set-Valued Maps

2016/05/10 by Monica Patriche, Patriche, Monica
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Optimization and Control (math.OC) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.1605.03051

openalex publication_date 2016/05/10 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the existence of solutions for generalized vector\nquasi-equilibrium problems. Firstly, we prove that in the case of Banach\nspaces, the assumptions of continuity over correspondences can be weakened. The\ntheoretical analysis is based on fixed-point theorems. Secondly, we establish\nnew equilibrium theorems as applications of the KKM principle.\n

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